6138540 has 72 divisors (see below), whose sum is σ = 18935280. Its totient is φ = 1609344.

The previous prime is 6138523. The next prime is 6138557. The reversal of 6138540 is 458316.

6138540 is a `hidden beast` number, since 613 + 8 + 5 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (6138523) and next prime (6138557).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11806 + ... + 12314.

It is an arithmetic number, because the mean of its divisors is an integer number (262990).

Almost surely, 2^6138540 is an apocalyptic number.

6138540 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6138540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9467640).

6138540 is an abundant number, since it is smaller than the sum of its proper divisors (12796740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6138540 is a wasteful number, since it uses less digits than its factorization.

6138540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 6138540 is about 2477.6077171336. The cubic root of 6138540 is about 183.1000080436.

It can be divided in two parts, 61385 and 40, that added together give a triangular number (61425 = T₃₅₀).

The spelling of 6138540 in words is "six million, one hundred thirty-eight thousand, five hundred forty".